Multiplying and dividing by 10 100 and 1000 level 5

advertisement
Positive
Thinker
Creative
Entrepreneur
Independent
Learner
Reflective
Learner
Responsible
Citizen
Team
Worker
Which ones are you using?
Enterprise Skills
LESSON OBJECTIVES
Always aim
high!
We are learning to:
- Enhance our Mathematical learning skills.
(Which Enterprise skills?)
- Accurately multiply and divide by 10, 100 and 1000.
(Level 5)
Where are we in
our journey?
AUTHOR
www.mistrymaths.co.uk
Real life
cross/curricular
links?
Positive
Thinker
Creative
Entrepreneur
Independent
Learner
Reflective
Learner
Responsible
Citizen
Team
Worker
Enterprise Skills LEARNING JOURNEY Which ones are you using?
Positive
Thinker
Creative
Entrepreneur
Enterprise Skills
Independent
Learner
Reflective
Learner
BRAIN IN GEAR
Responsible
Citizen
Team
Worker
Which ones are you using?
EXAMPLE
DITDIONA can be rearranged to make ADDITION
TASK
Work out the following Mathematical anagrams:
TEULLMSIP
Multiples
SEOWPR
Powers
ELAPC EALVU
Place Value
EXTENSION
Develop your own Mathematical anagrams as above as a
creative entrepreneur.
Positive
Thinker
Creative
Entrepreneur
Enterprise Skills
Independent
Learner
STARTER
Reflective
Learner
Responsible
Citizen
Team
Worker
Which ones are you using?
TASK
EXTENSION
1)(a) Complete the table:
1)Find the nth term and 50th term
(b) What is the rule for
the table below?
Output = Input + 10
below:
2, 9, 16, 23, …
+7
11
16
32
+7
+7
Nth term = 7n - 5
100th term = 7 x 50 - 5
100th term = 345
2) Write the first 5 terms of a
sequence given it’s nth term is:
-2
15
3n + 1
Multiply input
by 2 to get
the output
3 x 1 + 1= 4
3 x 2 + 1= 7
3 x 3 + 1 = 10
3 x 4 + 1 = 13
3 x 5 + 1 = 16
4, 7, 10, 13, 16
Positive
Thinker
Creative
Entrepreneur
Independent
Learner
Reflective
Learner
Responsible
Citizen
Team
Worker
Enterprise Skills Multiplying & Dividing Which ones are you using?
x10 → Numbers one left
x100 → Numbers two left
x1000 → Numbers three left
EXAMPLES
1)(a) 7.6 x 10 (b) 85 x 10
= 76
= 850
(b) 24 ÷ 10
= 0.68
(c) 0.06 x 100 (d) 0.26 x 1000
0
075
219
60
2
66
(c) 712 ÷ 100 (d) 93 ÷ 1000
= 7.12
= 2.4
7
= 260
=6
8
2)(a) 6.8 ÷ 10
÷10 → Numbers one right
÷100 → Numbers two right
÷1000 → Numbers three right
4
6
0
23
8
0
= 0.093
Positive
Thinker
Creative
Entrepreneur
Independent
Learner
Reflective
Learner
Responsible
Citizen
Team
Worker
Enterprise Skills Multiplying & Dividing Which ones are you using?
TASK (Level 5)
= 30
= 430
= 56
= 700
= 230
= 4560
= 4.9
= 620
= 6800
= 5000
= 59
= 3.2
= 4.5
Positive
Thinker
Creative
Entrepreneur
Independent
Learner
Reflective
Learner
Responsible
Citizen
Team
Worker
Enterprise Skills Multiplying & Dividing Which ones are you using?
TASK (Level 5)
= 0.3
= 4.3
= 0.56
= 0.07
= 23.45
= 0.456
= 0.049
= 6.2
= 0.68
= 0.531
= 0.59
= 0.032
= 0.045
Positive
Thinker
Creative
Entrepreneur
Independent
Learner
Reflective
Learner
Responsible
Citizen
Team
Worker
Enterprise Skills Multiplying & Dividing Which ones are you using?
EXTENSION (Level 5)
1) Write down the answers to these:
= 350
= 400
=7
= 270000
= 6000
= 7080
= 0.035
= 0.0005
= 0.007
= 0.000000006 = 0.07
= 0.08
2) Design a poster to explain clearly how to multiply and divide a
number by a power of 10
Positive
Thinker
Creative
Entrepreneur
Independent
Learner
Reflective
Learner
Responsible
Citizen
Team
Worker
Enterprise Skills Multiplying & Dividing Which ones are you using?
TASK (BINGO)
Draw a 3 x 3 grid as shown below:
Place any nine numbers below into the grid (repeats forbidden)
Positive
Thinker
Creative
Entrepreneur
Independent
Learner
Reflective
Learner
Responsible
Citizen
Team
Worker
Enterprise Skills Multiplying & Dividing Which ones are you using?
TASK (BINGO)
What is 5.2 x 10?
52
Positive
Thinker
Creative
Entrepreneur
Independent
Learner
Reflective
Learner
Responsible
Citizen
Team
Worker
Enterprise Skills Multiplying & Dividing Which ones are you using?
TASK (BINGO)
What is 47.3 ÷ 10?
4.73
Positive
Thinker
Creative
Entrepreneur
Independent
Learner
Reflective
Learner
Responsible
Citizen
Team
Worker
Enterprise Skills Multiplying & Dividing Which ones are you using?
TASK (BINGO)
What is 47.3 x 100?
4730
Positive
Thinker
Creative
Entrepreneur
Independent
Learner
Reflective
Learner
Responsible
Citizen
Team
Worker
Enterprise Skills Multiplying & Dividing Which ones are you using?
TASK (BINGO)
What is 5.2 ÷ 10?
0.52
Positive
Thinker
Creative
Entrepreneur
Independent
Learner
Reflective
Learner
Responsible
Citizen
Team
Worker
Enterprise Skills Multiplying & Dividing Which ones are you using?
TASK (BINGO)
What is 3.56 x 1000?
3560
Positive
Thinker
Creative
Entrepreneur
Independent
Learner
Reflective
Learner
Responsible
Citizen
Team
Worker
Enterprise Skills Multiplying & Dividing Which ones are you using?
TASK (BINGO)
What is 3.56 ÷ 10?
0.356
Positive
Thinker
Creative
Entrepreneur
Independent
Learner
Reflective
Learner
Responsible
Citizen
Team
Worker
Enterprise Skills Multiplying & Dividing Which ones are you using?
TASK (BINGO)
What is 47.3 ÷ 100?
0.473
Positive
Thinker
Creative
Entrepreneur
Independent
Learner
Reflective
Learner
Responsible
Citizen
Team
Worker
Enterprise Skills Multiplying & Dividing Which ones are you using?
TASK (BINGO)
What is 5.2 x 1000?
5200
Positive
Thinker
Creative
Entrepreneur
Independent
Learner
Reflective
Learner
Responsible
Citizen
Team
Worker
Enterprise Skills Multiplying & Dividing Which ones are you using?
TASK (BINGO)
What is 3.56 ÷ 100?
0.0356
Positive
Thinker
Creative
Entrepreneur
Independent
Learner
Reflective
Learner
Responsible
Citizen
Team
Worker
Enterprise Skills Multiplying & Dividing Which ones are you using?
TASK (BINGO)
What is 47.3 ÷ 1000?
0.0473
Positive
Thinker
Creative
Entrepreneur
Independent
Learner
Reflective
Learner
Responsible
Citizen
Team
Worker
Enterprise Skills Multiplying & Dividing Which ones are you using?
TASK (BINGO)
What is 5.2 x 100?
520
Positive
Thinker
Creative
Entrepreneur
Independent
Learner
Reflective
Learner
Responsible
Citizen
Team
Worker
Enterprise Skills Multiplying & Dividing Which ones are you using?
TASK (BINGO)
What is 0.356 x 100?
35.6
Positive
Thinker
Creative
Entrepreneur
Independent
Learner
Reflective
Learner
Responsible
Citizen
Team
Worker
Enterprise Skills Multiplying & Dividing Which ones are you using?
TASK (BINGO)
What is 0.473 x 100?
47.3
Positive
Thinker
Creative
Entrepreneur
Independent
Learner
Reflective
Learner
Responsible
Citizen
Team
Worker
Enterprise Skills Multiplying & Dividing Which ones are you using?
TASK (BINGO)
What is 0.00356 x 1000?
3.56
Positive
Thinker
Creative
Entrepreneur
Independent
Learner
Reflective
Learner
Responsible
Citizen
Team
Worker
Enterprise Skills Multiplying & Dividing Which ones are you using?
TASK (BINGO)
What is 520 ÷ 100?
5.2
Positive
Thinker
Creative
Entrepreneur
Independent
Learner
Reflective
Learner
Responsible
Citizen
Team
Worker
Enterprise Skills Multiplying & Dividing Which ones are you using?
TASK (BINGO)
What is 0.0473 x 10000?
473
MINI-PLENARY (CATCHPHRASE)
0.02 x 10
0.34 x 1000
13.1 ÷ 10
1.21 x 100
5.6 x 100
3.21 x 100 7.8 ÷ 100 1000 x 10 13.2 ÷ 10 12 x 1000
12.3 ÷ 100 13 ÷ 100 9.84 x 100
1.3 x 10000
9.7 ÷ 10
13.4 x 10 9.12 ÷ 10 5.5 x 100
7.134 x 1000
9.8 ÷ 10000
14.2 x 10 14.567 ÷ 100 13 x 1000 14.5 x 100 16.5 ÷ 1000
Positive
Thinker
Creative
Entrepreneur
Enterprise Skills
Independent
Learner
DISCOVERY
Reflective
Learner
Responsible
Citizen
Team
Worker
Which ones are you using?
LINK BACK TO OBJECTIVES
- Accurately multiply and divide by 10,
100 and 1000.
What level
are we
working at?
Positive
Thinker
Creative
Entrepreneur
Independent
Learner
Reflective
Learner
Responsible
Citizen
Team
Worker
Enterprise Skills Multiplying & Dividing Which ones are you using?
PLENARY ACTIVITY – WHO WANTS TO BE A MILLIONAIRE
Question 1
23 x 1000
A
B
C
D
23000
2300
230
23
23 x 1000
A
B
C
D
23000
2300
230
23
£1,000
Question 2
1780 ÷ 10
A
B
C
D
187
178
17800
18700
1780 ÷ 10
A
B
C
D
187
178
17800
18700
£4,000
Question 3
1067 ÷ 100
A
B
C
D
10067
1.067
106.7
10.67
1067 ÷ 100
A
B
C
D
10067
1.067
106.7
10.67
£8,000
Question 4
4608 ÷ 100
A
B
C
D
460.8
46.08
46800
46080
4608 ÷ 100
A
B
C
D
460.8
46.08
46800
46080
£16,000
Question 5
1.06 × 1000
A
B
C
D
106
10.6
100.6
1060
1.06 x 1000
A
B
C
D
106
10.6
100.6
1060
£32,000
Question 6
2.78 x 100
A
B
C
D
278
27.8
2780
27.08
2.78 x 100
A
B
C
D
278
27.8
2780
27.08
£64,000
Question 7
17.07 x 1000
A
B
C
D
1707
170.70
17070
1707.07
17.07 x 1000
A
B
C
D
1707
170.70
17070
1707.07
£125,000
Question 8
26.8 ÷ 10
A
B
C
D
268
2.68
2680
0.268
26.8 ÷ 10
A
B
C
D
268
2.68
2680
0.268
£250,000
Question 9
78.02 ÷ 100
A
B
C
D
780.2
78020
7.802
0.7802
78.02 ÷ 100
A
B
C
D
780.2
78020
7.802
0.7802
£500,000
Question 10
0.0608 ÷ 1000
A
B
C
D
60.8
0.0000608
608
0.000608
0.0608 ÷ 1000
A
B
C
D
60.8
0.0000608
608
0.000608
£1,000,000
What have you learnt?
Draw your brain
In your brain, write or draw everything you can remember about
multiplying and dividing by 10, 100 and 1000. It can be a skill or a
reflection, or something else that might be prominent in your brain.
Where are we
in our
journey?
What level
are we
working at?
Positive
Thinker
Creative
Entrepreneur
Independent
Learner
Reflective
Learner
Responsible
Citizen
Team
Worker
Enterprise Skills SELF ASSESSMENT Which ones are you using?
Plenary Activity
How well do you understand the task?
.
I don’t
understand
I nearly
understand
www.mistrymaths.co.uk
I fully
understand
Positive
Thinker
Creative
Entrepreneur
Independent
Learner
Reflective
Learner
Responsible
Citizen
Team
Worker
Enterprise Skills SELF ASSESSMENT Which ones are you using?
Plenary Activity
WWW (What Went Well)
EBI (Even Better If)
On your post it
notes…
Think about how you
can improve your
work.
www.mistrymaths.co.uk
Download